Question

Question was provided via image upload.

Explanation:

Identify the given values

We are given the following values from the problem statement:

• Initial population \(a = 150\)
• Growth rate \(r = 20\% = 0.20\)
• Time period \(t = 3\) months

Set up the growth equation

Using the Exponential Growth Modeling knowledge point

$$ \text{Future Amount} = 150(1 + 0.20)^3 $$

Calculate the future amount

Using the Exponential Growth Modeling knowledge point

$$
LATEXBLOCK0
$$

Round to the nearest whole number

Using the Exponential Growth Modeling knowledge point

$$ \text{Future Amount} \approx 259 $$

Answer:

A pond is stocked with 150 fish and their population increases by 20% every month. How many fish will there be after 3 months?

Future Amount = \(150(1 + 0.20)^3\)

Future Amount = <blank>259</blank> fish